Eichler-Shimura Cohomology Groups and the Iwasawa Main Conjecture
Publisher
The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
Ohta has given a detailed study of the ordinary part of p-adic Eichler-Shimura cohomology groups (resp., generalized p-adic Eichler-Shimura cohomology groups) from the perspective of p-adic Hodge theory [O₁, O₂, O₃]. Assuming various hypotheses, he is able to use the structure of these groups to give a simple proof of the Iwasawa main conjecture over Q [O₂, O₃, O₄, O₅]. The goal of this thesis is to extend Ohta’s arguments with a view towards removing these hypotheses.Type
textElectronic Dissertation
Degree Name
Ph.D.Degree Level
doctoralDegree Program
Graduate CollegeMathematics